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When a conical bottle rests on its flat base, the water in the bottle is 8 cm from the cone's vertex....

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When a conical bottle rests on its flat base, the water in the bottle is 8 cm from the cone's vertex, When the same conical bottle is turned upside down, the water surface is 2 cm from the flat base.

What is the height of the bottle?

enter image description here

posted Nov 3, 2018 by anonymous

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1 Answer

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Volume of cone - Volume of the empty portion of cone = Volume of water = Volume of the cone made of water (2nd diagram)
Simplifying yields the height of the bottle = 10.2195.

answer Nov 3, 2018 by Tejas Naik
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